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LCM of 353, 923, 445, 738, 565

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 353, 923, 445, 738, 565 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 353, 923, 445, 738, 565. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 353,923,445,738,565

Given numbers are 353,923,445,738,565

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 353,923,445,738,565 is 12091250610270.

Find LCM of 353,923,445,738,565 with Prime Factorization


5 353, 923, 445, 738, 565
353, 923, 89, 738, 113

Multiply the prime numbers at the bottom and the left side.

5 x 353 x 923 x 89 x 738 x 113 = 12091250610270

Therefore, the lowest common multiple of 353,923,445,738,565 is 12091250610270.

LCM Formula to Find Lowest Common Multiple of 353,923,445,738,565

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

353 x 923 x 445 x 738 x 565 = 60456253051350

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

353 : 1, 353

923 : 1, 13, 71, 923

445 : 1, 5, 89, 445

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,923,445,738,565, is 1.

Now, the common factors can be found like this.

353:353

923:13x 71

445:5x 89

738:2x 3x 3x 41

565:5x 113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 60456253051350/(1x5)

LCM = 60456253051350/5

LCM = 12091250610270

Thus, we can understand that the LCM of 353,923,445,738,565 is 12091250610270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 353, 923, 445, 738, 565

1. What is the LCM of 353, 923, 445, 738, 565?

Answer: LCM of 353, 923, 445, 738, 565 is 12091250610270.

2. How to calculate the LCM of 353, 923, 445, 738, 565?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 353, 923, 445, 738, 565.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.